2760672400 has 120 divisors (see below), whose sum is σ = 6891523200. Its totient is φ = 1061491200.

The previous prime is 2760672391. The next prime is 2760672407. The reversal of 2760672400 is 42760672.

It is not an unprimeable number, because it can be changed into a prime (2760672407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3839241 + ... + 3839959.

It is an arithmetic number, because the mean of its divisors is an integer number (57429360).

Almost surely, 2^2760672400 is an apocalyptic number.

2760672400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2760672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445761600).

2760672400 is an abundant number, since it is smaller than the sum of its proper divisors (4130850800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2760672400 is a wasteful number, since it uses less digits than its factorization.

2760672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 2760672400 is about 52542.1012141692. The cubic root of 2760672400 is about 1402.8297188173.

The spelling of 2760672400 in words is "two billion, seven hundred sixty million, six hundred seventy-two thousand, four hundred".